Answer:
x ≈ - 6.74, 0.74
Step-by-step explanation:
x² + 6x - 5 = 0 ( add 5 to both sides )
x² + 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 5 + 9
(x + 3)² = 14 ( take square root of both sides )
x + 3 = ± [tex]\sqrt{14}[/tex] ( subtract 3 from both sides )
x = - 3 ± [tex]\sqrt{14}[/tex]
Then
x = - 3 - [tex]\sqrt{14}[/tex] ≈ - 6.74 ( to the nearest hundredth )
x = - 3 + [tex]\sqrt{14}[/tex] ≈ 0.74 ( to the nearest hundredth )
